Caramelized Onion and Asiago Beer Batter Bread

2 tablespoons olive oil
1 1/2 cups onions, diced
1 tablespoon sugar
3 cups flour
2 tablespoons sugar
2 teaspoons baking powder
1 teaspoon salt
1 cup asiago cheese, grated
1 (12 ounce) bottle beer
cooking spray
2 tablespoons butter, melted

Preheat oven to 375°.
Heat olive oil in a large nonstick skillet over medium heat. Add onion and 1 T sugar, and sauté 15 minutes or until tender and caramelized. Cool to room temperature.
Combine flour, 2 T sugar, baking powder, and salt in a bowl; make a well in center of mixture.
Add onion, cheese, and beer; stir just until moist.
Spoon batter into a 9 x 5-inch loaf pan coated with cooking spray; drizzle evenly with butter.
Bake for 55-60 minutes, or until a wooden pick inserted in center comes out clean.
Cool 5 minutes in pan on a wire rack; remove from pan. Cool completely on wire rack.